\[v=\sqrt{\frac{T}{\mu}}\]
Variables
vwave speed on string (m/s)
Tstring tension (N)
mu[μ]linear mass density (kg/m)
Description
What is this formula?
The String Wave Speed formula calculates the propagation speed of transverse waves traveling along a stretched string. The speed increases with tension and decreases with linear mass density.
When to use it
Use this formula when analyzing musical instruments, vibrating strings, mechanical wave propagation, or laboratory wave experiments.
Example
Given:
T = 100 N
μ = 0.010 kg/m
Formula:
v = √(T/μ)
Substitution:
v = √(100/0.010)
v = √10000
v = 100 m/s
Result:
v = 100 m/s
Applications
Musical instruments.
Wave mechanics.
Structural vibration studies.
Physics laboratories.
Mechanical engineering.